In the Southern Ocean (poleward of 50ºS), the response of sea surface temperature (SST) to ozone depletion involves two time scales, consisting of a rapid cooling of SST, followed by a slower warming trend. Although this basic response is robust, comparison across models reveals large uncertainties as to its time scales and amplitudes. In midlatitudes (between about 30-50ºS) the SST response consists of a simpler, warming trend in all models. Midlatitude surface temperature anomalies are transported to depth by increased ventilation and subduction, leading to a redistribution as well as a net increase ocean heat content. Significant changes are also demonstrated in both the directly-forced and biological storage of carbon in the ocean. However, we show that these two effects may approximately cancel, leading to a small net impact on ocean carbon, the sign of which is uncertain. Finally, we discuss the relationship between our idealized experiments and responses to realistic time-varying ozone concentrations, as well as implications for attributing the role of ozone depletion in observed ocean trends.